Question
For the following arithmetic progressions write the first term a and the common difference d:
$-5, -1, 3, 7, ....$
$-5, -1, 3, 7, ....$
✓
Answer
A.P. is, $-5, -1, 3, 7, .......$
Here,
First term $a = -5$
Common difference,
$a_1 - a = -1 - (-5) = 4$
$a_2 - a_1 = 3 - (-1) = 4$
$d = 4$
Therefore $a = -5$ and $d = 4.$
Here,
First term $a = -5$
Common difference,
$a_1 - a = -1 - (-5) = 4$
$a_2 - a_1 = 3 - (-1) = 4$
$d = 4$
Therefore $a = -5$ and $d = 4.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
$\triangle\text{ABC}\sim\triangle\text{PQR}$ and $\text{ar}(\triangle\text{ABC})=4\text{ar}(\triangle\text{PQR}).$ If BC 12cm, find QR.
→In a cylindrical vessel of diameter $24\ cm$, filled up with sufficient quantity of water, a solid spherical ball of radius $6\ cm$ is completely immersed. Find the increase in height of water level.
→Very-Short and Short-Answer Questions:
Write the value of k for which the system of equations $3x + ky = 0, 2x - y = 0$ has a unique solution.
→Write the value of k for which the system of equations $3x + ky = 0, 2x - y = 0$ has a unique solution.
A cone of maximum size is carved out from a cube of edge 14cm. Find the surface area of the cone and of the remaining solid left out after the cone carved out.
Form the quadratic equation if its roots are
$(\sqrt{2}+\sqrt{3})$ and $(\sqrt{2}-\sqrt{3})$
→$(\sqrt{2}+\sqrt{3})$ and $(\sqrt{2}-\sqrt{3})$
Draw a circle with center O and radius 3.6 cm. Draw a tangent to the circle from point B at a distance of 7.2 cm from the center of the circle.
If the radii of the circular ends of a bucket $24\ cm$ high are $5\ cm$ and $15\ cm$ respectively, find the surface area of the bucket.
→Verify that points P(-2, 2), Q(2, 2) and R(2, 7) are vertices of a right angled triangle.
If the circumference of two circles are in the ratio 2 : 3, what is the ratio of their areas?
In figure 3.81, seg EF is a diameter and seg DF is a tangent segment. The radius of the circle is r. Prove that, $\mathrm{DE} \times \mathrm{GE}=4 \mathrm{r}^2$
→